Analogs of quantum Hall effect edge states in photonic crystals

Abstract

"Photonic crystals" built with time-reversal-symmetry-breaking Faraday-effect media can exhibit "chiral" edge modes that propagate unidirectionally along boundaries across which the Faraday axis reverses. These modes are precise analogs of the electronic edge states of quantum Hall effect (QHE) systems, and are also immune to backscattering and localization by disorder. The "Berry curvature" of the photonic bands plays a role analogous to that of the magnetic field in the QHE. Explicit calculations demonstrating the existence of such unidirectionally-propagating photonic edge states are presented.

arXiv comment23 pages, 19 figures

References in corpus (8)

• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Hall Effect of Light
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
• Dissipationless Anomalous Hall Current in the Ferromagnetic Spinel CuCr${}_2$Se${}_{4-x}$Br${}_x$

Cited by in corpus (444)

• Topological Photonics
• Topological Photonics
• Quantum fluids of light
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Chiral Quantum Optics
• Symmetry and Topology in Non-Hermitian Physics
• Topological mechanics of gyroscopic metamaterials
• Topologically protected elastic waves in phononic metamaterials
• Weyl points and line nodes in gapless gyroid photonic crystals
• Floquet Topological Insulators for Sound
• Nonlinear topological photonics
• Surface Impedance and Bulk Band Geometric Phases in One-Dimensional Systems
• Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
• Visualization of unidirectional optical waveguide using topological photonic crystals made of dielectric material
• Chiral groundstate currents of interacting photons in a synthetic magnetic field
• Topological chiral magnonic edge mode in a magnonic crystal
• Time-reversal symmetry breaking in circuit-QED based photon lattices
• Topologically protected defect states in open photonic systems with non-hermitian charge-conjugation and parity-time symmetry
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Topological properties of linear circuit lattices
• Experimental Observation of Large Chern numbers in Photonic Crystals
• Optical Resonator Analog of a Two-Dimensional Topological Insulator
• Observation of Topological Band Gap Solitons
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Topological photonic crystals: physics, designs and applications
• Three-Dimensional All-Dielectric Photonic Topological Insulator
• Topological Polaritons
• Do Linear Dispersions of Classical Waves Mean Dirac Cones?
• Topologically Robust Transport of Photons in a Synthetic Gauge Field
• Active topological photonics
• Photonic gauge potential in a system with a synthetic frequency dimension
• Valley Topological Phases in Bilayer Sonic Crystals
• Artificial gauge fields in materials and engineered systems
• Inverse design of third-order Dirac exceptional points in photonic crystals
• Photonic analog of graphene model and its extension -- Dirac cone, symmetry, and edge states --
• Tunable Acoustic Valley-Hall Edge States in Reconfigurable Phononic Elastic Waveguides
• Crystalline metamaterials for topological properties at subwavelength scales
• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
• Quantum Simulation with Interacting Photons
• Topological Quantum Optics in Two-Dimensional Atomic Arrays
• Non-linear second-order topological insulators
• Quantized Nonlinear Thouless Pumping
• Geometry dependence of surface lattice resonances in plasmonic nanoparticle arrays
• Topological phononic insulator with robustly pseudospin-dependent transport
• Hyperbolic Weyl point in reciprocal chiral metamaterial
• Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
• Hall effect of triplons in a dimerized quantum magnet
• Observation of strong backscattering in valley-Hall photonic topological interface modes
• Topological one-way large-area waveguide states in magnetic photonic crystals
• Dirac magnons in honeycomb ferromagnets
• Reprogrammable plasmonic topological insulators with ultrafast control
• Extremal transmission and beating effect of acoustic wave in two-dimensional sonic crystal
• Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges
• Coriolis Force Induced Quantum Hall Effect for Phonons
• Controlling mass and energy diffusion with metamaterials
• Design and Experimental Observation of Valley-Hall Edge States in Diatomic-Graphene-like Elastic Waveguides
• Large effective magnetic fields from chiral phonons in rare-earth halides
• Network Models of Photonic Floquet Topological Insulators
• Measurement of a topological edge invariant in a microwave network
• Topological quantum fluctuations and travelling wave amplifiers
• Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
• Topological tight-binding models from non-trivial square roots
• Topological Insulators by Topology Optimization
• A perspective on topological nanophotonics: current status and future challenges
• Mirror skin effect and its electric circuit simulation
• Scattering-Free Optical Edge States between Heterogeneous Photonic Topological Insulators
• Exceptional rings protected by emergent symmetry for mechanical systems
• Reconfigurable Topological Photonic Crystal
• Bulk-edge correspondence for topological photonic continua
• Four-wave Mixing of Topological Edge Plasmons in Graphene Metasurfaces
• Topological phase transitions and chiral inelastic transport induced by the squeezing of light
• Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
• Hybrid topological photonic crystals
• Topological Sound and Flocking on Curved Surfaces
• Geometry-Invariant Resonant Cavities
• Observation of unidirectional soliton-like edge states in nonlinear Floquet topological insulators
• Optical isolation with nonlinear topological photonics
• Quantized Fractional Thouless Pumping of Solitons
• Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
• Topological Thermoelectricity in Metals
• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Bulk-boundary correspondence for non-Hermitian Hamiltonians via Green functions
• Semi-Dirac dispersion relation in photonic crystals
• Exceptional points in topological edge spectrum of PT symmetric domain walls
• Electromagnetic helicity in complex media
• Dirac Cones at k=0 in Phononic Crystals
• Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
• Amorphous photonic topological insulator
• Photonic Anomalous Quantum Hall Effect
• Topological transitions in continuously-deformed photonic crystals
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Su-Schrieffer-Heeger Model Inspired Acoustic Interface States and Edge States
• Lasing at the K-points of a honeycomb plasmonic lattice
• Topological metasurface: From passive toward active and beyond
• Engineering Fragile Topology in Photonic Crystals: Topological Quantum Chemistry of Light
• Berry phase, Berry Connection, and Chern Number for a Continuum Bianisotropic Material from a Classical Electromagnetics Perspective
• Topological nodal states in circuit lattice
• Tuning the Berry curvature in 2D Perovskite
• Drift-induced Unidirectional Graphene Plasmons
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
• Recipe for Dirac Phonon States with Quantized Valley Berry Phase in Two Dimensional Hexagonal Lattices
• Non-Abelian braiding of light
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Topological quantum optics using atom-like emitter arrays coupled to photonic crystals
• Exciton-polariton condensates near the Dirac point in a triangular lattice
• PTD Symmetry Protected Scattering Anomaly in Optics
• Experimental evidence of robust acoustic valley Hall edge states in a non-resonant topological elastic waveguide
• Experimental Realization of a Reflections-Free Compact Delay Line Based on a Photonic Topological Insulator
• Topological Wave-Guiding Near an Exceptional Point: Defect-Immune, Slow-Light, Loss-Immune Propagation
• Simultaneous Multi-frequency Topological Edge Modes between One-dimensional Photonic Crystals
• Bulk and edge spin transport in topological magnon insulators
• Elliptic operators with honeycomb symmetry: Dirac points, Edge States and Applications to Photonic Graphene
• Robust Edge States in Amorphous Gyromagnetic Photonic Lattices
• Anomalous bulk-edge correspondence in continuous media
• Lifshitz and Excited State Quantum Phase Transitions in Microwave Dirac Billiards
• Topological phases and nonreciprocal edge states in non-Hermitian Floquet Insulators
• Fluctuation-induced forces on an atom near a photonic topological material
• The Emergence of Topological Nodal Points in Photonic Crystal with Mirror Symmetry
• Topological theory of non-Hermitian photonic systems
• Dynamically manipulating topological physics and edge modes in a single degenerate optical cavity
• Photonic Dirac monopoles and skyrmions: spin-1 quantization
• Observation of Antichiral Edge States in a Circuit Lattice
• Berry phase of phonons and thermal Hall effect in nonmagnetic insulators
• Vector Topological Edge Solitons in Floquet Insulators
• Non-reciprocal quantum interactions and devices via autonomous feed-forward
• The Chern Number Governs Soliton Motion in Nonlinear Thouless Pumps
• Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances and supercurrents
• Topological photonic crystal with equifrequency Weyl points
• ${\mathbb{Z}}_2$ Topological Invariant for Magnon Spin Hall Systems
• Nonlocal effects and enhanced nonreciprocity in current-driven graphene systems
• Effective magnetic fields for photons in waveguide and coupled resonator lattices
• Bulk-edge correspondence and long range hopping in the topological plasmonic chain
• Extremal transmission through a microwave photonic crystal and the observation of edge states in a rectangular Dirac billiard
• Topological Phases of Photonic Crystals under Crystalline Symmetries
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• A topological photonic ring-resonator for on-chip channel filters
• Z_2 Photonic topological insulators in the visible wavelength range for robust nanoscale photonics
• Physical Violations of the Bulk-Edge Correspondence in Topological Electromagnetics
• PT Symmetric Floquet Topological Phase
• Proof of the bulk-edge correspondence through a link between topological photonics and fluctuation-electrodynamics
• Topology-Enhanced Nonreciprocal Scattering and Photon Absorption in a Waveguide
• Topological bands and triply-degenerate points in non-Hermitian hyperbolic metamaterials
• Unidirectional and diffractionless surface plasmon-polaritons on three-dimensional nonreciprocal plasmonic platforms
• Topological photonics: fundamental concepts, recent developments, and future directions
• Floquet topological system based on frequency-modulated classical coupled harmonic oscillators
• Simulation and Detection of Photonic Chern Insulators in One-Dimensional Circuit Quantum Electrodynamics Lattice
• Layered Photonic Topological Insulators
• Transfer matrix study of the Anderson transition in non-Hermitian systems
• ${\mathbb{Z}}_2$ Topological Index for Continuous Photonic Materials
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Continuous bulk and interface description of topological insulators
• Fermion-boson many-body interplay in a frustrated kagome paramagnet
• Higher-order topological insulators in hyperbolic lattices
• Quantum gyro-electric effect: Photon spin-1 quantization in continuum topological bosonic phases
• The effects of three-dimensional defects on one-way surface plasmon propagation for photonic topological insulators comprised of continuous media
• Fano resonance from a one-dimensional topological photonic crystal
• Microwave Applications of Photonic Topological Insulators
• Simulating Quantum Spin Hall Effect in Topological Lieb Lattice of Linear Circuit
• Ballistic charge transport in graphene and light propagation in periodic dielectric structures with metamaterials: a comparative study
• Bulk-edge correspondence of classical diffusion phenomena
• The Existence of Topological Edge States in Honeycomb Plasmonic Lattices
• Topological Angular Momentum and Radiative Heat Transport in Closed Orbits
• Experimental realization of chiral Landau levels in two-dimensional Dirac cone systems with inhomogeneous effective mass
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• The Nature of Topological Protection in Spin and Valley Hall Insulators
• Large-area quantum-spin-Hall waveguide states in a three-layer topological photonic crystal heterostructure
• L lines, C points and Chern numbers: understanding band structure topology using polarization fields
• Haldane Quantum Hall Effect for Light in a Dynamically Modulated Array of Resonators
• Magnetic chern bands and triplon Hall effect in an extended Shastry-Sutherland model
• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
• Excitation band topology and edge matter waves in Bose-Einstein condensates in optical lattices
• Topological supermodes in photonic crystal fiber
• Nonreciprocal resonant transmission/reflection based on a one-dimensional photonic crystal adjacent to the magneto-optical metal film
• Interfacial waveforms in chiral lattices with gyroscopic spinners
• Robust entanglement with 3D nonreciprocal photonic topological insulators
• Tuning Topological Phase Transitions in Hexagonal Photonic Lattices Made of Triangular Rods
• Witnessing topological Weyl semimetal phase in a minimal circuit-QED lattice
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Homotopy, Symmetry, and Non-Hermitian Band Topology
• Kagome Lattice from Exciton-Polariton Perspective
• Chiral Electromagnetic Waves in Weyl Semimetal
• Multifrequency and multimode topological waveguides in a Stampfli-triangle photonic crystal with large valley Chern numbers
• Nonreciprocal Signal Routing in an Active Quantum Network
• Non-local topological electromagnetic phases of matter
• Integer Quantum Magnon Hall Plateau-Plateau Transition in a Spin Ice Model
• Spontaneous lateral atomic recoil force close to a photonic topological material
• Three-dimensional topological magnon systems
• Topological photonic crystal fibers and ring resonators
• Topological valley transport under long-range deformations
• Berry bands and pseudo-spin of topological photonic phases
• Valley-dependent Corner States in Honeycomb Photonic Crystal without Inversion Symmetry
• An operator-based approach to topological photonics
• Topology in shallow-water waves: a violation of bulk-edge correspondence
• Cubic 3D Chern photonic insulators with orientable large Chern vectors
• Meta-Weaves: Sector-way non-reciprocal meta surfaces
• Topological slow light via coupling chiral edge modes with flat bands
• Exact Solution for the Protected TEM edge mode in a PTD-Symmetric Parallel-Plate Waveguide
• Topological Ring-Cavity Laser Formed by Honeycomb Photonic Crystals
• Nonreciprocal and non-Hermitian material response inspired by semiconductor transistors
• A Topology-Controlled Photonic Cavity Based on the Near-Conservation of the Valley Degree of Freedom
• Topologically Enabled Ultralarge Purcell Enhancement Robust to Photon Scattering
• A group theoretical route to deterministic Weyl points in chiral photonic lattices
• Topological classification of Chern-type insulators with the photonic Green function
• Robust surface plasmon polaritons on gyrotropic interfaces
• Chiral edge modes in evolutionary game theory: a kagome network of rock-paper-scissors
• Gapless surface states in a lattice of coupled cavities: a photonic analog of topological crystalline insulators
• Topological characterization of classical waves: the topological origin of magnetostatic surface spin waves
• Topological edge states for disordered bosonic systems
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Anomalous localization behaviors in disordered pseudospin systems: Beyond the conventional Anderson picture
• Exciting Reflectionless Unidirectional Edge Modes in a Reciprocal Photonic Topological Insulator Medium
• Interlayer Topological Transport and Devices based on Layer Pseudospins in Photonic Valley-Hall Phases
• Trapped state at a dislocation in a weak magnetomechanical topological insulator
• Topological phonon modes in filamentous structures
• Theory of dipole radiation near a Dirac photonic crystal
• Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice
• Topologically non-trivial Floquet band structure in a system undergoing photonic transitions in the ultra-strong coupling regime
• Classifying topology in photonic heterostructures with gapless environments
• Mathematical theory for topological photonic materials in one dimension
• Magnetic transitions in the topological magnon insulator Cu(1,3-bdc)
• Conical diffraction and the dispersion surface of hyperbolic metamaterials
• Microlocal analysis of the bulk-edge correspondence
• Observation of topological gravity-capillary waves in a water wave crystal
• Topological bands in two-dimensional networks of metamaterial elements
• Topological origin of electromagnetic energy sinks
• Frequency tunable topological edge states of two-dimensional honeycomb lattice photonic crystals
• Unidirectional Transport in Electronic and Photonic Weyl Materials by Dirac Mass Engineering
• Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices
• Unidirectional Maxwellian Spin Waves
• Chiral current circulation and $\mathcal{P}\mathcal{T}$ symmetry in a trimer of oscillators
• Topological effects of phonons in GaN and AlxGa1-xN: A potential perspective for tuning phonon transport
• Topological polaritons from photonic Dirac cones coupled to excitons in a magnetic field
• Generalized Berry phase for a bosonic Bogoliubov system with exceptional points
• Lattice symmetries, spectral topology and opto-electronic properties of graphene-like materials
• Confined one-way mode at magnetic domain wall for broadband high-efficiency one-way waveguide, splitter and bender
• Photonic analogues of the Haldane and Kane-Mele models
• Bulk-edge correspondence for nonlinear eigenvalue problems
• Topological Floquet edge states in periodically curved waveguides
• Nonlinear wave dynamics in honeycomb lattices
• Optical torque on a two-level system near a strongly nonreciprocal medium
• Topological phase in plasma physics
• Photonic modal circulator using temporal refractive-index modulation with spatial inversion symmetry
• Extinction of coherent backscattering by a disordered photonic crystal with a Dirac spectrum
• The Krein-Schrödinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification
• Robust Topological Terahertz Circuits using Semiconductors
• Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
• Time-dependent high-contrast subwavelength resonators
• Quantized Angular Momentum in Topological Optical Systems
• Chiral Maxwell waves in continuous media from Berry monopoles
• Absence of topological protection of the interface states in ${\mathbb{Z}}_2$ photonic crystals
• Wannier Function Methods for Topological Modes in 1D Photonic Crystals
• Realization of Hofstadter's butterfly and a one-way edge mode in a polaritonic system
• Magnetically-defined topological edge plasmons in edgeless electron gas
• Topological zero modes and edge symmetries of metastable Markovian bosonic systems
• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Link between the photonic and electronic topological phases in artificial graphene
• Hybrid topological magnon-phonon modes in honeycomb and kagome lattices
• On-chip unidirectional waveguiding for surface acoustic waves along a defect line in a triangular lattice
• Topological photonic Su-Schrieffer-Heeger-type coupler
• Topological charge of finite-size photonic crystal modes
• The dispersion and propagation of topological Langmuir-cyclotron waves in cold magnetized plasmas
• Section Chern number for a 3D photonic crystal and the bulk-edge correspondence
• Characterization of edge states in perturbed honeycomb structures
• Synthetic magnetism for photon fluids
• Chern Invariants of Topological Continua; a Self-Consistent Nonlocal Hydrodynamic Model
• Photonic realization of topologically protected bound states in domain-wall waveguide arrays
• Weyl points and topological surface states in a three-dimensional elastic lattice
• Slow wave and truly rainbow trapping in one-way terahertz waveguide
• Waveguide photonic limiters based on topologically protected resonant modes
• Single-mode lasing based on PT-breaking of two-dimensional photonic higher-order topological insulator
• Response to polarization and weak topology in Chern insulators
• Polaritonic Quantum Matter
• Zeeman Splitting of Photonic Angular Momentum States in Gyromagnetic Cylinder
• Evidence of Magnon-Mediated Orbital Magnetism in a Quasi-2D Topological Magnon Insulator
• Optical properties of honeycomb photonic structures
• Rotating Spacetime Modulation: Topological Phases and Spacetime Haldane Model
• Ill-defined Topological Phases in Dispersive Photonic Crystals
• Topological spin-plasma waves
• Topological Phenomena in Trapped Ion Systems
• On the Role of Symmetries in the Theory of Photonic Crystals
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Synthetic gauge fields for light beams in optical resonators
• The Harper-Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling
• The Schrödinger Formalism of Electromagnetism and Other Classical Waves --- How to Make Quantum-Wave Analogies Rigorous
• Topological transitions and Anderson localization of light in disordered atomic arrays
• Coherent control of topological states in an integrated waveguide lattice
• Geometric optics of Bloch waves in a chiral and dissipative medium
• Robust acoustic pulling using chiral surface waves
• Microwave photonic crystals as an experimental realization of a combined honeycomb-kagome lattice
• Higher-order topological heat conduction on a lattice for detection of corner states
• Hofstadter Butterfly Evolution in the Space of Two-Dimensional Bravais Lattices
• Non-reciprocal mu-near-zero mode in PT-symmetric magnetic domains
• Near- and Far-Field Excitation of Topological Plasmonic Metasurfaces
• Edge states of a diffusion equation in one dimension: Rapid heat conduction to the heat bath
• Period-doubled Floquet Solitons
• Observing 0D subwavelength-localized modes at ~100 THz protected by weak topology
• Near-zero index magneto-optical medium realized with an unpaired Dirac point
• Topological light guiding and trapping via shifted photonic crystal interfaces
• Highly degenerate photonic flat bands arising from complete graph configurations
• Topology in shallow-water waves: A spectral flow perspective
• Effective Light Dynamics in Perturbed Photonic Crystals
• High Transmission in 120-degree Sharp Bends of Inversion-symmetric and Inversion-asymmetric Photonic Crystal Waveguides
• Inducing and controlling rotation on small objects using photonic topological materials
• Pseudospin-orbit coupling and non-Hermitian effects in the Quantum Geometric Tensor of a plasmonic lattice
• Wave packet dynamics in slowly modulated photonic graphene
• Topological Edge and Corner States in Biphenylene Network
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Asymmetric Cherenkov Emission in a Topological Plasmonic Waveguide
• Quadrature protection of squeezed states in a one-dimensional photonic topological insulator
• Dirac Hamiltonians for bosonic spectra
• Berry curvature for coupled waves of magnons and electromagnetic waves
• Dirac cones and mass terms in bosonic spectra
• Polariton vortex Chern insulator
• Synthetic gauge potential and effective magnetic field in a Raman medium undergoing molecular modulation
• Weyl singularities in polaritonic multi-terminal Josephson junctions
• Electromagnetic Nonreciprocity in a Magnetized Plasma Circulator
• Robust Transport of the Edge Modes along the Photonic Topological Interfaces of Different Configurations
• A Landauer formulation of photon transport in driven systems
• Bloch-Floquet waves in optical ring resonators
• Unidirectional light transport in dynamically modulated waveguides
• Quantum metric dependent anomalous velocity in systems subject to complex electric fields
• Effective Floquet model for minimally twisted bilayer graphene
• Zak Phase Induced Topological Nonreciprocity
• Static synthetic gauge field control of double optomechanically induced transparency in a closed-contour interaction scheme
• Signatures of interfacial topological chiral modes via RKKY exchange interaction in Dirac and Weyl systems
• Bulk-edge correspondence for unbounded Dirac-Landau operators
• Analytical study of mode degeneracy in non-Hermitian photonic crystals with TM-like polarization
• Topologically protected photonic transport in bi-anisotropic meta-waveguides
• Transmission properties of time-dependent one-dimensional metamaterials
• Topological band theory of a generalized eigenvalue problem with Hermitian matrices: Symmetry-protected exceptional rings with emergent symmetry
• Negative Thermal Hall Conductance in Two-Dimer Shastry-Sutherland Model with π-flux Dirac Triplon
• On exotic sphere fibrations, topological phases, and edge states in physical systems
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Topological Materials for Near-Field Radiative Heat Transfer
• Quantum limits on the time-bandwidth product of an optical resonator
• Two Classes of Singularities and Novel Topology in a Specially Designed Synthetic Photonic Crystals
• Topological Flat Band and Parity-Time Symmetry in a Honeycomb Lattice of Coupled Resonant Optical Waveguides
• A symmetry-protected exceptional ring in a photonic crystal with negative index media
• Strong magneto-optical response enabled by quantum two level systems
• One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics
• Discrete Approximation of Topologically Protected Modes in Magneto-Optical Media
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Probing the Topological Anderson Transition in Quasiperiodic Photonic Lattices via Chiral Displacement and Wavelength Tuning
• Ultra-subwavelength focusing and giant magnetic-field enhancement in a low-loss one-way waveguide based on remanence
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- Part I: Chiral number of zero-modes
• Multipolar edge states in the breathing kagome model
• Topological aspects in the photonic crystal analog of single-particle transport in quantum Hall systems
• Standing and Traveling Waves in a Model of Periodically Modulated One-dimensional Waveguide Arrays
• Topological Corner Modes by Composite Wannier States in Glide-Symmetric Photonic Crystal
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Topologically protected dynamics in three-dimensional nonlinear antisymmetric Lotka-Volterra systems
• Momentum-Space Topological Effects of Nonreciprocity
• Dirac equation in curved spacetime: the role of local Fermi velocity
• Light, the universe, and everything -- 12 Herculean tasks for quantum cowboys and black diamond skiers
• Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
• Topological crystalline protection in a photonic system
• Wavepacket dynamics on Chern band lattices in a trap
• Dirac-Schrodinger transformations in contacted graphene structures
• Large-scale free-space photonic circuits in two dimensions
• Gap dependent mass of photon in photonic topological insulator
• So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation
• Robust unidirectional transport in a one-dimensional metacrystal with long-range hopping
• Chiral magnetic effect of light
• Small mode volume topological photonic states in one-dimensional lattices with dipole--quadrupole interactions
• Anomalous bulk-edge correspondence of nonlinear Rice-Mele model
• Light propagation in (2+1)-dimensional electrodynamics: the case of linear constitutive laws
• Topological Frenkel Exciton-Polaritons in One-Dimensional Lattices of Strongly Coupled Cavities
• Visualization of Photonic Band Structures via Far-field Measurements in SiNx Photonic Crystal Slabs
• Projective symmetry determined topology in flux Su-Schrieffer-Heeger model
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Double Dirac cones in band structures of periodic Schrödinger operators
• Geometry and Topological photonics
• Enhanced Directional Quantum Emission by Tunable Topological Doubly-Resonant Cavities
• Sorting and Routing Topologically Protected Edge States by their Valleys
• Cavity-induced backscattering in a two-dimensional photonic topological system
• Mode Delocalization in Disordered Photonic Chern Insulator
• Linear Response Theory: A Modern Analytic-Algebraic Approach
• Spectroscopy and topological properties of a Haldane light system
• Signature of edge states in resonant wave scattering
• Optical non-Hermitian skin effect in two-dimensional uniform media
• Continuum Schroedinger operators for sharply terminated graphene-like structures
• Experimental Realization of Anti-Unitary Wave-Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics
• Edge States with Hidden Topology in Spinner Lattices
• Spin and valley polarized one-way Klein tunneling in photonic topological insulators
• Quantum Topological Boundary States in Quasi-crystal
• Topological Computation by non-Abelian Braiding in Classical Metamaterials
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
• Quantized dynamics in closed quantum systems
• Fractional Thouless pumping of solitons: a unique manifestation of bulk-edge correspondence of nonlinear eigenvalue problems
• Circular edge states in photonic crystals with a Dirac node
• Polariton Chern Bands in 2D Photonic Crystals Beyond Dirac Cones
• Topological invariants and topological charges in photonic systems
• Classifying bulk-edge anomalies in the Dirac Hamiltonian
• Ballistic electron transport in wrinkled superlattices
• The Perturbed Maxwell Operator as Pseudodifferential Operator
• Design of a room-temperature topological exciton-polariton laser in a ZnO/TiO${}_2$-photonic crystal slab
• Single-shot measurement of photonic topological invariant
• Inverse design of dual-band valley-Hall topological photonic crystals with arbitrary pseudospin states
• Chern numbers for the index surfaces of photonic crystals: conical refraction as a basis for topological materials
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Photonic Nambu-Goldstone bosons
• Self-induced nonreciprocity from asymmetric photonic topological insulators
• Topology and criticality in non-Hermitian multimodal optical resonators through engineered losses
• Topologically Protected Photonic Modes in Composite Quantum Hall/Quantum Spin Hall Waveguides
• Topological phase transition in anti-symmetric Lotka-Volterra doublet chain
• Non-hermitian topology and entanglement in an optomechanical superlattice
• Spectral Invariants of the Magnetic Dirichlet-to-Neumann Map on Riemannian Manifolds
• Frequency Domain Berry Curvature Effect on Time Refraction
• Electric circuit analog of Landau-Zener tunneling using time-varying elements
• Topological Phases in Non-Hermitian Nonlinear-Eigenvalue Systems
• Topological photonics in nanoscaled systems with far field radiation and polarization singularities
• Constructing qubit edge states by inverse-designing the electromagnetic environment
• Photonic Higher-Order Topological States Induced by Long Range Interactions
• Wilson Loop and Topological Properties in 3D Woodpile Photonic Crystal
• Real-space renormalisation approach to the Chalker-Coddington model revisited: improved statistics
• A Hermitian bypass to the non-Hermitian quantum theory
• Edge states and the Valley Hall Effect
• Controlling scattering of light through topological transitions in all-dielectric metasurfaces
• Zero mode protection at particle-hole symmetry: a geometric interpretation
• Photonic analogue of quantum spin Hall effect
• Extremely broadband topological surface states in a photonic topological metamaterials
• Direct visualization of topological transitions and higher-order topological states in photonic metasurfaces
• Polarization-dependent topology in quantum emitter chains
• Topological Photonic Crystal of Large Valley Chern Numbers
• Fate of Bosonic Topological Edge Modes in the Presence of Many-Body Interactions
• Dirac points in helically structured 1D photonic crystals
• Estimation of the number of negative eigenvalues of magnetic Schrödinger operators in a strip
• Transport properties of photonic topological insulators based on microring resonator array
• Topological Invariant for Bosonic Bogoliubov-de Gennes Systems with Disorder
• Engineering the Bogoliubov Modes through Geometry and Interaction: From Collective Edge Modes to Flat-band Excitations
• Valley-Hall-like second-order photonic topological insulators in Kagome lattice
• Topological Pseudospin Hall Effect and Multi-frequency Corner Modes in Kagome-based Lattices
• Nanoimprinted topological laser in the visible
• Non-Abelian gauge field optics in the time domain
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Fine Structures of Berry Curvature and Unquantized Valley Chern Numbers in Valley Photonic Crystals
• Angular momentum-dependent topological transport and its experimental realization using a transmission line network
• Observation of an Effective Magnetic field for Light